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Finding the Fourth Proportional to 10,508, 14,501.10 and 5,792.20

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Solution

The fourth proportional to 10,508, 14,501.10 and 5,792.20 is: 7,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508 : 14,501.10 = 5,792.20 : x
  2. Step 2: Convert to fraction form
    10,508/14,501.10 = 5,792.20/x
  3. Step 3: Cross multiply
    10,508x = 14,501.10 × 5,792.20
  4. Step 4: Simplify right side
    10,508x = 83,993,271.42
  5. Step 5: Solve for x
    x = 83,993,271.42/10,508
  6. Step 6: Final answer
    x = 7,993.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.